The number 59680
59680 is a composite number with 24 divisors. Its prime factorisation is × 5 × 373. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 373, 746, 1492, 1865 … 59680.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59680 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59680 is composite. Its prime factorisation is
- 3
The divisors add up to 141372; without 59680 itself that is 81692, so 59680 is abundant (81692 is more than 59680). Euler's totient φ(59680) = 23808 numbers up to 59680 share no factor with it.
- 4
The digits of 59680 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59680 = 2^{5} \times 5 \times 373 \]59680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141372 |
| Euler totient φ(n) | 23808 |
| Square | 3561702400 |
| Cube | 212562399232000 |
| Square root | 244.294904 (= 4√3730) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.968 × |
59680 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand six hundred and eighty |
| Binary (base 2) | 1110100100100000 |
| Octal (base 8) | 164440 |
| Hexadecimal (base 16) | E920 |
| Base 3 | 10000212101 |
| As time | 59680 seconds = 16 h 34 min 40 s |
Is 59680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59680 ÷ 2 = 29840) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59680 ÷ 4 = 14920) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59680 ÷ 5 = 11936) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (59680 ÷ 8 = 7460) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59680 ÷ 10 = 5968) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59680 a prime number?
No. 59680 = × 5 × 373, so it is divisible by 2.
What are the factors of 59680?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 373, 746, 1492, 1865, 2984, 3730, 5968, 7460, 11936, 14920, 29840, 59680.
What is 59680 in binary?
1110100100100000 (hexadecimal E920, octal 164440).
What is the square root of 59680?
About 244.2949, exactly 4√3730.
Is 59680 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59680?
It is a composite number with 24 divisors.